3013720755705 has 144 divisors (see below), whose sum is σ = 5781622326480. Its totient is φ = 1451108736000.

The previous prime is 3013720755659. The next prime is 3013720755781. The reversal of 3013720755705 is 5075570273103.

3013720755705 is a `hidden beast` number, since 3 + 0 + 1 + 3 + 7 + 2 + 0 + 75 + 570 + 5 = 666.

3013720755705 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 85351038201 + 2928369717504 = 292149^2 + 1711248^2 .

It is not a de Polignac number, because 3013720755705 - 2⁶ = 3013720755641 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 524944135 + ... + 524949875.

It is an arithmetic number, because the mean of its divisors is an integer number (40150155045).

Almost surely, 2^{3013720755705} is an apocalyptic number.

It is an amenable number.

3013720755705 is a deficient number, since it is larger than the sum of its proper divisors (2767901570775).

3013720755705 is a wasteful number, since it uses less digits than its factorization.

3013720755705 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6424 (or 6410 counting only the distinct ones).

The product of its (nonzero) digits is 771750, while the sum is 45.

The spelling of 3013720755705 in words is "three trillion, thirteen billion, seven hundred twenty million, seven hundred fifty-five thousand, seven hundred five".